Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

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Abstract

We derive rigorous upper and lower bounds for the ground state entropy of the q-state Potts antiferromagnet on the honeycomb and triangular lattices. These bounds are quite restrictive, especially for large q.

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Shrock, R., & Tsai, S. H. (1997). Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(6 SUPPL. A), 6791–6794. https://doi.org/10.1103/physreve.55.6791

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